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Dec
18
answered Probability distribution for the perimeter and area of triangle with fixed circumscribed radius
Dec
17
comment Moore–Penrose pseudoinverse reference
See math.stackexchange.com/questions/49857/…
Dec
17
comment What's the largest possible volume of a taco, and how do I make one that big?
@alex: The reoptimized one.
Dec
17
comment Probability distribution for the perimeter and area of triangle with fixed circumscribed radius
I get the impression there won't be a nice answer to this. There are various ways of expressing the area and the perimeter in terms of the angles, and you can get e.g. the average area, $3/(2\pi)$, by integrating over the angles, but as far as I'm aware, in order to get the distribution, you'd have to solve for one of the angles, and I invariably get ugly fourth-order equations when I do that.
Dec
17
comment Probability distribution for the perimeter and area of triangle with fixed circumscribed radius
I don't see how anything is straightforward from there. That the angles aren't independent is part of the problem. Another part of the problem is that the distributions for the area and perimeter are integrals over these angle distributions with variable integration limits and potentially complicated derivatives in the integrand. It seems to me you've only done the easy part.
Dec
17
revised What's the largest possible volume of a taco, and how do I make one that big?
it's not actually visible to the naked eye
Dec
17
answered Invariants of a matrix
Dec
17
comment What's the largest possible volume of a taco, and how do I make one that big?
@alex: You're welcome. I added some results and images comparing the optimal solution to a cylinder optimized for the disk-shaped taco.
Dec
17
revised What's the largest possible volume of a taco, and how do I make one that big?
added 23 characters in body
Dec
17
revised What's the largest possible volume of a taco, and how do I make one that big?
added some results and graphs for a reoptimized cylinder
Dec
17
awarded  Enlightened
Dec
17
revised What's the largest possible volume of a taco, and how do I make one that big?
more precise
Dec
17
awarded  Nice Answer
Dec
17
revised What's the largest possible volume of a taco, and how do I make one that big?
added numerical solution and images
Dec
17
answered Do rotations about any three non-collinear axes generate $SO(3)$?
Dec
16
comment Do rotations about any three non-collinear axes generate $SO(3)$?
This might be relevant: mathoverflow.net/questions/62156/…
Dec
16
revised What's the largest possible volume of a taco, and how do I make one that big?
slight correction
Dec
16
answered What's the largest possible volume of a taco, and how do I make one that big?
Dec
16
comment Proof of exponent rule $a^{n/m}$ when $n$ and $m$ belongs in the reals
Another one of those posts where one suspects it must be from you before scrolling down to the name :-) +1 not least for the attention to detail in separating out the $1$ to avoid $0^0$ :-)
Dec
16
revised Proof of exponent rule $a^{n/m}$ when $n$ and $m$ belongs in the reals
typo